His paper has established him as one of the most important figures in modern mathematics.

他的文章奠定了他作为现代数学领域最重要的人物之一的地位。

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A typical argument in modern mathematics is often quite intricate, requiring many different steps, ingredients, and notation.

当代数学的论证过程往往错综复杂，需要用上很多不同的步骤、成分和符号。

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The approximation theory of functions is one of the important branches of modern mathematics.

函数逼近论是现代数学的一个重要分支。

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Islamic students and scholars, fueled by coffee, revived Greek philosophy and laid the groundwork for the scientific method and modern mathematics.

FORBES: Repent! The End Of Cheap Coffee Is Nigh!

Theocritus, a Syracusan like Archimedes (the inventor of modern mathematics and science, who has a chamber of his own), is now credited with inventing pastoral poetry.

WSJ: Sicily's Proud Past | Sicily: Art and Invention Between Greece and Rome | J. Paul Getty Museum By David Littlejohn

Formal proof is a notion developed in the early part of the 20th century by logicians such as Bertrand Russell and Gottlob Frege, along with mathematicians such as David Hilbert (who can fairly be described as the father of modern mathematics) and Nicolas Bourbaki, the pseudonym of a group of French mathematicians who sought to place all of mathematics on a rigorous footing.

ECONOMIST: Just what does it mean to prove something?